In this paper the structure of the set of equilibria for two person multicriteria games is analysed. It turns out that the classical result for the set of equilibria for bimatrix games, that it is a finite union of polytopes, is only valid for multicriteria games if one of the players only has...

Finite potential games have Nash equilibria in pure strategies.This note provides some results on the existence of equilibria or approximate equilibria if some players have infinite sets of strategies.